Which is the rule for the sequence shown?
2 answers:
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Answer:
y = OR y =
Step-by-step explanation:
Our quadratic equation is: (5y + 6)² = 24.
The first step is to square root both sides:
5y + 6 = ±√24 = ±2√6
Now subtract 6 from both sides:
5y = ±2√6 - 6
Finally divide by 5 from both sides:
y = OR y =
And, those are the solutions to the equation.
Answer:
Part 1) The equation tells us that Terry started at an elevation of 2,600 ft
Part 2) The elevation is decreasing by 50 feet each second
Step-by-step explanation:
we have
where
E(t) is Terry's elevation in feet
t is the time in seconds
Part 1) Find the E intercept of the equation
The E-intercept is the value of E when the value of t is equal to zero
so
For t=0
substitute
therefore
The equation tells us that Terry started at an elevation of 2,600 ft
Part 2) Find the slope of the equation
we have
This is the equation of the line into slope intercept form
The slope m is equal to
The slope is negative, because is decreasing
therefore
The elevation is decreasing by 50 feet each second
The sample size suggested by this statement is 664 option second is correct.
<h3>What is the margin of error(MOE)?</h3>It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
At 99% confidence Z = 2.576
By using the MOE formula:
0.05 = 2.376×√(0.5(0.5)/n)
After calculating
n = 663.57 ≈ 664
Thus, the sample size suggested by this statement is 664 option second is correct.
Learn more about the Margin of error here:
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